4 Student Packet Joe Soccer’s Decision Use contents of this packet as you feel appropriate. You are free to copy and use any of the material in this lesson plan. Packet Contents ENSO Decision-Making Lab Climate Forecasts - worksheet ENSO Decision-Marking Lab Joe Soccer realizes to make an informed decision, he needs to collect data on precipitation, ENSO phase, and number of soccer games played. The following tables give the data Joe collected. Your job is to use this data and help Joe make an informed decision. The data contains the year, the ENSO phase, El Niño (E), La Niña (L), or Neutral (O), and precipitation levels as below normal (B), near normal (N), or above normal (A). Historical Observations on ENSO phase in December Associated with December Through February Precipitation in Bryan / College Station, TX Precipitation ENSO Year Level Phase 1971 B L 1972 A E 1973 N L 1974 N L 1975 B L 1976 N E 1977 N E 1978 A O 1979 N O 1980 B O 1981 B O 1982 A E 1983 B L 1984 N L 1985 B O 1986 A E 1987 B E 1988 A L 1989 N O 1990 A O 1991 A E 1992 A O 1993 N O 1994 A E 1995 B L 1996 N O 1997 A E 1998 B L 1999 B L 2000 N L Summary of number of average number of games played by league and precipitation level. League Precipitation Indoor Outdoor Level Below Normal 7 10 Normal 7 8 Above Normal 7 5 Directions – using the data in the tables answer the following questions. Once completed, you will have helped Joe Soccer make a more informed decision concerning which soccer league to enter. 1. Summarizing the Historical Data - Joe needs to put his data into a form useful for decisionmaking. One useful form to summarize data is bar graphs. Completion of the following table will help you create the necessary graphs. The number of years with below normal precipitation for all years and the number of years with above normal precipitation for neutral years are completed to help you complete the table. After you have completed the following table, check your numbers with your teacher before answering the questions. ENSO Phase All Years La Niña (L) El Niño (E) Neutral (O) Number of Years with each Precipitation Level Below Near Normal Above (B) (N) (A) 10 3 Activity One – All Years Forecasts 2. Using the data for all years (data in the all years row of the table), create a bar graph with the horizontal (x-axis) being the three precipitation levels, below, near, and above normal. The vertical (y-axis) is the number of years that fall into each precipitation category. This graph will give you a precipitation forecast based on historical precipitation data and not using ENSO information. Hint: below normal precipitation is completed to get you started. Precipitation Levels in Bryan / College Station December - Febuary - All Years Number of Years 10 8 6 4 2 0 Below Normal Near Normal Rainfall Level Above Nornal 3. Using the graph created in problem 2, which soccer league should Joe sign-up for? 4. Recognition of Information Needs. Is there enough information in the graph created in problem 2 to help Joe make a more informed decision than just guessing? Activity Two – ENSO – Based Climate Forecasts Activity Setup. Joe knows that the ENSO phase listed for each year in the table is the phase associated with conditions in the ocean at the beginning of December. He does not have to sign up for a league until the end of the first week of December. With this information, Joe decides to use the information on precipitation and ENSO to create a set of climate forecasts. With the information Joe gained from completing the Learning Module on ENSO, Joe decides to create three conditional bar graphs. By conditional, Joe will create a bar chart for each of the ENSO events. Because these charts are based on ENSO information at the beginning of December and precipitation that occurs after December 1, by developing these charts Joe is creating climate forecasts for each ESNO phase. Joe’s goal is to play in the largest expected number of soccer games. 5. La Niña Climate Phase Forecasts - using data for La Niña phase years only, create a bar chart that gives the number of years that have above below, normal, and above normal precipitation similar to the graph completed for problem 2. Hint, there are only 11 La Niña phase years. Use only these 11 years to create your bar graph. The reason the chart is conditional, is to be included, the year had to be a La Niña year (conditional on the phase being La Niña). Hint: below normal precipitation is completed to get you started. Precipitation Levels in Bryan / College Station December - Febuary - La Nina Years Number of Years 10 8 6 4 2 0 Below Normal Near Normal Rainfall Level Above Nornal 6. El Niño Climate Phase Forecast - Using data for El Niño phase years only, create a bar chart that gives the number of years that have above below, normal, and above normal precipitation similar to the graph completed for problems 2 and 5. Precipitation Levels in Bryan / College Station December - Febuary - El Nino Years Number of Years 10 8 6 4 2 0 Below Normal Near Normal Rainfall Level Above Nornal 7. Neutral Climate Phase Forecasts. Create a conditional bar chart using only other event years similar to problems 2, 5, and 6. Precipitation Levels in Bryan / College Station December - Febuary - Neutral Years Number of Years 10 8 6 4 2 0 Below Normal Near Normal Rainfall Level Above Nornal Activity Three - Helping Joe Soccer Make an Informed Decision Recall, Joe’s goal is to play in the largest expected number of soccer games. 8. Use your climate forecasts graph you created for problem 5 in answering the following question. If it is a La Niña year, what league do you think Joe should sign-up for? Why? 9. Use your climate forecasts graph you created for problem 6 in answering the following question. If it is an El Niño year, what league do you think Joe should sign-up for? Why? 10. Use your climate forecasts graph you created for problem 7 in answering the following question. If it is a neutral year, what league do you think Joe should sign-up for? Why? 11. Your answers to questions 8, 9, and 10 should be different. Why? Activity Four – Converting Graphical Forecasts to Probabilistic Forecasts 11. Calculating Probabilities. Complete the following table by using the information in problem 1. Calculate the historical probabilities of below normal, normal, and above normal precipitation levels for the different ENSO phases. Probability hint: probability is calculated as the number years with a particular precipitation level divided by the total number of years with that phase. For the below normal precipitation category and all years, the probability would be calculated as follows 10 / 30 = .333 ≈ .33 because 10 years out of the 30 had below normal precipitation. For above normal precipitation in neutral years, the probability is 3 / 10 = .30 because 3 years had above average precipitation out of 10 neutral years. These two hints, along with all precipitation and La Niña years, are completed on the table to help you. Be sure to put the formula and answer in each box. ENSO Phase All Years Below Normal Precipitation Level Near Normal Above Normal All Precipitation Levels 10/30=.333 33.3% El Niño La Niña Neutral 11/30=.367 36.7% 3/10=.30 30% 12. The probabilities in the table represent precipitation probabilistic forecasts for precipitation conditional on the ENSO phase. Use the values in the probability table to answer the following questions. Round your answer to the nearest ones. a) What is the probability of below normal precipitation occurring, if the ENSO phase is La Niña? Hint: use the column below normal and row La Niña. b) What is the probability of below normal precipitation occurring, if the ENSO event is El Niño? c) What is the probability of near normal precipitation occurring, if the ENSO event is neutral? d) Why do the probabilities differ in questions 12 a, b, and c? Hint: recall the material form Learning Module 3 on the scientific aspects of ENSO. Activity Five - Inferencing Beyond the Data An important aspect in science and learning is the ability to make inferences beyond the data. The problems in this activity are designed to allow the student to make such inferences. In making inferences, it is important that scientists provide reasons, which support their inference. Materials Necessary Graphs from Activity Two for problems 5, 6, and 7 1. Cloud Cover. Examine the graphs from Activity Two, which ENSO phase years (La Niña, El Niño, or neutral) would you expect Bryan / College Station to experience the most cloudy days during the period December through February? Provide a reason for your answer. 2. Solar Radiation. Using the graphs from Activity Two, which ENSO phase years (La Niña, El Niño, or neutral) would you expect Bryan / College Station to experience the most solar radiation during the period December through February? Provide a reason for your answer. Hint: solar radiation is energy transported from the sun to the earth through electromagnetic waves. 3. Daytime Temperatures. Using the graphs from Activity Two, which ENSO phase years (La Niña, El Niño, or neutral) would you expect Bryan / College Station to experience higher daytime temperatures during the period December through February? Provide a reason for your answer. . Climate Forecasts Materials Necessary Internet access The National Oceanic and Atmospheric Administration (NOAA) issues three month long climate forecasts for the U.S. These forecasts can be found at the following internet web site: http://www.cpc.ncep.noaa.gov/products/predictions/long_range/lead01/off_index.html. Be sure to read how to interpret the forecasts. One important aspect of forecasts is lead-time. Lead-time is defined as the time between when NOAA issues a forecast and the period the forecast covers. For example, a 4.5 month lead time forecast issued October 15, would be for climate conditions occurring in the three months March, April, and May, beginning 4.5 months into the future. This forecast would be given by the link 4.5mn on the web site. 1. Seasonal Climate Forecasts. Go to the above web site and find the 0.5 month and 2.5 month lead-time forecasts. Use these forecasts to answer the following questions. Be sure to print out and hand-in the forecasts. 2. 0.5 Month Lead-time forecast. Is the area you live in forecasted to have above, normal, or below normal precipitation for the three months beginning approximately two weeks from the time the forecast was issued? 3. 2.5 Month Lead-time forecast. Is the area you live in forecasted to have above, normal, or below normal precipitation for the three months starting approximately 2.5 months from the day the forecast was issued? 4. Inference Concerning Accuracy of the Forecasts. Which forecast would you expect to be the most accurate, lead-times of 0.5 months or 2.5 months? Support your answer.
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